113148000 has 288 divisors, whose sum is σ = 459950400. Its totient is φ = 25804800.

The previous prime is 113147999. The next prime is 113148019. The reversal of 113148000 is 841311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251776 + ... + 252224.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^113148000 is an apocalyptic number.

113148000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229975200).

113148000 is an abundant number, since it is smaller than the sum of its proper divisors (346802400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113148000 is a wasteful number, since it uses less digits than its factorization.

113148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 113148000 is about 10637.1048692772. The cubic root of 113148000 is about 483.6697881949.

Adding to 113148000 its reverse (841311), we get a palindrome (113989311).

The spelling of 113148000 in words is "one hundred thirteen million, one hundred forty-eight thousand".